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Lecture Notes on Rings and Fields
This note explains the following topics: Numbers, Definitions and first examples, Further axioms for rings, Subrings, Ideals, Quotients of rings, Homomorphisms, Three isomorphism theorems, Prime ideals, Maximal ideals, Divisors, Irreducibles and prime, Euclidean rings, Greatest common divisors again, Some nasty examples, The classification of finite field.
Author(s): J D Mitchell and V Maltcev
50 Pages 
An introduction to the algebra of rings and fields
This note covers rings and ideals, Modules, Monoid algebras and polynomials, Finite fields, Polynomials II, Modules over a PID.
Author(s): Darij Grinberg
493 Pages
Lecture Notes on Rings and Fields
This note explains the following topics: Numbers, Definitions and first examples, Further axioms for rings, Subrings, Ideals, Quotients of rings, Homomorphisms, Three isomorphism theorems, Prime ideals, Maximal ideals, Divisors, Irreducibles and prime, Euclidean rings, Greatest common divisors again, Some nasty examples, The classification of finite field.
Author(s): J D Mitchell and V Maltcev
50 Pages
This wikibook explains ring theory. Topics covered includes: Rings, Properties of rings, Integral domains and Fields, Subrings, Idempotent and Nilpotent elements, Characteristic of a ring, Ideals in a ring, Simple ring, Homomorphisms, Principal Ideal Domains, Euclidean domains, Polynomial rings, Unique Factorization domain, Extension fields.
Author(s): wikibook
NA Pages
Exercises and Solutions In Groups Rings and Fields
Aim of this book is to help the students by giving them some exercises and get them familiar with some solutions. Some of the solutions here are very short and in the form of a hint. Topics covered includes: Sets, Integers, Functions, Groups, Rings and Fields.
Author(s): Mahmut Kuzucuoglu
106 Pages
This note covers the following topics: Rings: Definition, examples and elementary properties, Ideals and ring homomorphisms, Polynomials, unique factorisation, Factorisation of polynomials, Prime and maximal ideals, Fields, Motivatie Galoistheorie, Splitting fields and Galois groups, The Main Theorem of Galois theory, Solving equation and Finite fields.
Author(s): F.Beuker
121 Pages
This note covers the following topics: Introduction to number rings, Ideal arithmetic, Explicit ideal factorization, Linear algebra for number rings, Geometry of numbers, Zeta functions, Computing units and class groups, Galois theory for number fields.
Author(s): Stevenhagen
84 Pages
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Author(s): NA
NA Pages
Rings and Fields Lecture Notes
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages